[I read that they archers there would go among the French dead and gather their previously fired arrows after each French fallback.]
Makes sense. The article mentions retrieving arrows from the field after the fight is over.
I remember the old PRINCE VALIANT comic strip in which he had arrows with narrower knocks made for his men and narrower bow strings so in an upcoming battle the enemy could not shoot the arrows of VALIANT back at them, but they could still shoot arrows from the enemy.